We prove an abstract Strichartz estimate, which implies previously unknown endpoint
Strichartz estimates for the wave equation (in dimension n≥ 4) and the Schrödinger …

This advanced monograph is concerned with modern treatments of central problems in
harmonic analysis. The main theme of the book is the interplay between ideas used to study …

These notes are based on a course I gave at UCLA in the fall of 1994. I tried to make the
course self-contained, presenting as background basic facts about the solution of the linear …

We make a synthetic exposition of the generalized Strichartz inequalities for the wave
equation obtained in [6] together with the limiting cases recently obtained in [13] with as …

We prove existence and scattering results for semilinear wave equations with low regularity
data. We also determine the minimal regularity that is needed to ensure local existence and …

In this article we construct parametrices and obtain dispersive estimates for a large class of
principally normal pseudodifferential operators. The main motivation for this comes from …

The purpose of this paper is to establish estimates of Strichartz type, globally in space and
time, for solutions to certain nontrapping, spatially compact perturbations of the Minkowski …

Sharp Local Well-Posedness Results for the Nonlinear Wave Equation Page 1 Annals of
Mathematics, 162 (2005), 291-366 Sharp local well-posedness results for the nonlinear wave …

STRONG VARIATIONAL AND JUMP INEQUALITIES IN HARMONIC ANALYSIS 1. Introduction
Variational and jump inequalities in probability, Page 1 TRANSACTIONS OF THE AMERICAN …

In an earlier work of the author it was proved that the Strichartz estimates for second order
hyperbolic operators hold in full if the coefficients are of class $ C^ 2$. Here we strengthen …